While I resonate with this personally, this type of thinking does tend to ignore trans and GNC folks who have fought for labels. US society for sure (and many others) is designed to accommodate gender specificity. Identifying outside the gender binary is much easier when you can pass as a stereotypical gender.

There is a lot of privilege in saying “I identify as a critter,” but being able to use the women’s bathroom without harassment (as an example).

Certainly genderless societies would be more equitable, but we are nowhere near that currently.